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Finding the Fourth Proportional to 313,304.07, 469,932.74 and 100,094.51

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Solution

The fourth proportional to 313,304.07, 469,932.74 and 100,094.51 is: 150,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,304.07 : 469,932.74 = 100,094.51 : x
  2. Step 2: Convert to fraction form
    313,304.07/469,932.74 = 100,094.51/x
  3. Step 3: Cross multiply
    313,304.07x = 469,932.74 × 100,094.51
  4. Step 4: Simplify right side
    313,304.07x = 47,037,684,868.48
  5. Step 5: Solve for x
    x = 47,037,684,868.48/313,304.07
  6. Step 6: Final answer
    x = 150,134.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.